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BabaBlast [244]

2 years ago

8

Coin toss resultsh = heads t = tailst h t h t h t t t t h t h t tfind the experimental probability of tossing heads.

1 answer:

victus00 [196]2 years ago

3 0

H=5
t = 8

5+8=13

5/13

0.38

0.38*100

38%

Please leave a rating and a thanks!

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

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2 years ago

Solve 8x^2 = 65. Round to the nearest hundredth.<br><br> the solutions are +/- _________

kirza4 [7]

2.850........,..,.hhh

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2 years ago

Which set of numbers could be the lengths of the sides of a triangle A. 2,5,6

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The answer is b 3,5,9

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2 years ago

Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angl

Step2247 [10]

Answer:

$B= 41$ ; $C = 56$ ; $A = 83$

Step-by-step explanation:

Given

$A = 2x + 1$

$B = x$

$C = x + 15$

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

$A + B + C = 180$

Substitute values for A, B and C

$2x + 1+ x + x + 15 = 180$

Collect Like Terms

$2x + x + x = 180 - 15 -1$

$4x = 164$

Solve for x

$x= 164/4$

$x= 41$

Solve for A, B and C

$A = 2x + 1$

$A = 2 * 41 + 1$

$A = 82 + 1$

$A = 83$

$B = x$

$B= 41$

$C = x + 15$

$C = 41 + 15$

$C = 56$

From Smallest to Largest, we have:

$B= 41$ ; $C = 56$ ; $A = 83$

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2 years ago

Evaluate -3^2+(2-6)(10)

maksim [4K]

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2 years ago

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